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Generalized parton distributions of the nucleon in the chiral quark soliton model: Sum over all quark states at nonzero skewness and momentum transfer
Abstract
We compute the combinations EM=Hu+d+Eu+d and HE=Hu−d+tEu−d/(4MN2) of unpolarized generalized parton distributions (GPDs) of the nucleon in the chiral quark soliton model at nonzero skewness ξ and nonzero momentum transfer t. The combinations contain the GPDs Hu−d and Eu+d, which are subleading in the expansion in the inverse number of colors. Both combinations are double sums over the quark states. A multipole expansion of the light-cone operators makes the sums computable at every ξ and every t≤0. The contribution of the Dirac continuum is summed over the quark states, without an interpolation formula and without a gradient expansion. The first moments satisfy the form-factor sum rules, and the second moments satisfy polynomiality.
Versions
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BibTeX
@misc{minamiguchi2026generalized,
title = {{Generalized parton distributions of the nucleon in the chiral quark soliton model: Sum over all quark states at nonzero skewness and momentum transfer}},
author = {Josuke Minamiguchi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.37354},
eprint = {2609.37354},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37354},
}
RIS
TY - UNPB
TI - Generalized parton distributions of the nucleon in the chiral quark soliton model: Sum over all quark states at nonzero skewness and momentum transfer
AU - Josuke Minamiguchi
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2609.37354
UR - https://arxiv.org/abs/2609.37354
AB - We compute the combinations E_M=H^u+d+E^u+d and H_E=H^u−d+tE^u−d/(4M_N^2) of unpolarized generalized parton distributions (GPDs) of the nucleon in the chiral quark soliton model at nonzero skewness ξ and nonzero momentum transfer t. The combinations contain the GPDs H^u−d and E^u+d, which are subleading in the expansion in the inverse number of colors. Both combinations are double sums over the quark states. A multipole expansion of the light-cone operators makes the sums computable at every ξ and every t≤0. The contribution of the Dirac continuum is summed over the quark states, without an interpolation formula and without a gradient expansion. The first moments satisfy the form-factor sum rules, and the second moments satisfy polynomiality.
ER -